Arc ML = 2×∠MNL
= 2×43°
= 86°
_____
The measure of an inscribed angle is half the measure of the arc it intercepts. This simple relationship is used in many geometry problems, so is worth remembering (or at least, writing down in a handy place).
Answer:
60
Step-by-step explanation:
using rise over run method, from (0,20) to (1,80) the line slants up by degree of 60 per one unit so the slope is 60.
So since they are similar
AC/BC=CD/CE
so
(66-x)/30=(x+4)/5
times both sides by 5
(66-x)/6=x+4
times both sides by 6
66-x=6(x+4)
distribute
66-x=6x+24
add x to both sides
66=7x+24
minus 24 from both sides
42=7x
divide both sides by 7
6=x
x=6 units